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106088 = 2389149
BaseRepresentation
bin11001111001101000
312101112012
4121321220
511343323
62135052
7621203
oct317150
9171465
10106088
1172784
1251488
1339398
142a93a
1521678
hex19e68

106088 has 16 divisors (see below), whose sum is σ = 202500. Its totient is φ = 52096.

The previous prime is 106087. The next prime is 106103. The reversal of 106088 is 880601.

It can be written as a sum of positive squares in 2 ways, for example, as 91204 + 14884 = 302^2 + 122^2 .

It is a super-2 number, since 2×1060882 = 22509327488, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (106087) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 638 + ... + 786.

2106088 is an apocalyptic number.

It is an amenable number.

106088 is a deficient number, since it is larger than the sum of its proper divisors (96412).

106088 is a wasteful number, since it uses less digits than its factorization.

106088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 106088 is about 325.7115288104. The cubic root of 106088 is about 47.3393278572.

Adding to 106088 its reverse (880601), we get a palindrome (986689).

The spelling of 106088 in words is "one hundred six thousand, eighty-eight".

Divisors: 1 2 4 8 89 149 178 298 356 596 712 1192 13261 26522 53044 106088